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This article is cited in 6 scientific papers (total in 6 papers)
Kovalevskaya exponents of systems with exponential interaction
K. V. Emel'yanova, A. V. Tsygvintsevb
a Udmurt State University
b M. V. Lomonosov Moscow State University
Abstract:
The Kovalevskaya exponents are calculated for a class of systems generalizing Toda chains: systems with exponential interaction. It is shown that the known cases of algebraic integrability have no direct analogues in the case of spaces with pseudo-Euclidean metrics because the full-parameter expansions of the general solution contain complex powers of the independent variable.
DOI:
https://doi.org/10.4213/sm514
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English version:
Sbornik: Mathematics, 2000, 191:10, 1459–1469
Bibliographic databases:
   
UDC:
517.9
MSC: 37J30, 37J35, 70H05
Received: 15.11.1999
Citation:
K. V. Emel'yanov, A. V. Tsygvintsev, “Kovalevskaya exponents of systems with exponential interaction”, Mat. Sb., 191:10 (2000), 39–50; Sb. Math., 191:10 (2000), 1459–1469
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/msb514https://doi.org/10.4213/sm514 http://mi.mathnet.ru/eng/msb/v191/i10/p39
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Damianou P.A., Papageorgiou V.G., “On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials”, Regul. Chaotic Dyn., 12:2 (2007), 160–171
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Vladimir D. Ivashchuk, Vitaly N. Melnikov, “On Brane Solutions Related to Non-Singular Kac–Moody Algebras”, SIGMA, 5 (2009), 070, 34 pp.
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Ivashchuk V.D., “on Brane Solutions With Intersection Rules Related to Lie Algebras”, Symmetry-Basel, 9:8 (2017), 155
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Andrzej J. Maciejewski, Maria Przybylska, “Global Properties of Kovalevskaya Exponents”, Regul. Chaotic Dyn., 22:7 (2017), 840–850
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